Write the quadratic equation in standard form:-4x – 19 = x2

The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.

Part A: The absolute value inequality that describes the range of the actual weight of the object is:

|w - 125.8| ≤ 0.4

Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:

w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4

Solving the first inequality:

w - 125.8 ≤ 0.4

Add 125.8 to both sides:

w ≤ 126.2

Solving the second inequality:

-(w - 125.8) ≤ 0.4

Multiply by -1 and distribute the negative sign:

-w + 125.8 ≤ 0.4

Subtract 125.8 from both sides:

-w ≤ -125.4

Divide by -1 (note that the inequality direction flips):

w ≥ 125.4

Combining the solutions, we have:

125.4 ≤ w ≤ 126.2

The object is 125.4 ≤ w ≤ 126.2.

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Step-by-step explanation: Well to begin, you take 15$ and multiply it by 4, since he wants to buy 4 of those tickets, which is 60$. Then, take the 10$ and multiply it by 2 since he wants 2 of those tickets, which is 20$, you then apply 10% to 60 and 20 by taking 10 percent of 60, then adding  it to 60 once have that, which is 66, you take the 3% and find 3% of 66, then add the answer of that to 66, which is 67.98$, you then do the same thing to the 20$.

Sorry if this didnt help, im sure it didnt because im a very bad explainer, but i tried..

Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners.

Therefore option A is correct.

The college degree is described as a qualification awarded to students after completing the requirements for a specific course of study of which the two most common types of degrees are the Bachelor of Arts and Bachelor of Science.

With reference to the table, the occupations that do not require a college degree are:

We were able to conclude that Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners with a rate of 24.6%.

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The approximate lateral area of the cone is equal to 200.96 cm².

Mathematically, the lateral area of a cone can be calculated by using this mathematical expression:

Lateral surface area of a cone, LSA = πrl or πr√(r^2 + h^2)

Where

Mathematically, the area of a circle can be calculated by using this formula:

Area of a circular base = πr²

16π = πr²

Radius, r = √16

Radius, r = 4 cm.

Substituting the given parameters into the lateral area of a cone formula, we have the following;

Lateral surface area of a cone, LSA = πrl = πr4(r)

Lateral surface area of a cone, LSA = 3.14 × 4 × 16

Lateral surface area of a cone, LSA = 200.96 cm².

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Answer:

201 beause you are rounding to the nearest whole number

Step-by-step explanation:

ANSWER

• x = -2

• y = -4

EXPLANATION

The elimination method consists in subtracting one equation from the other in order to eliminate one of the variables, obtaining one equation with one variable. In some cases we have to multiply or divide the whole equation by a factor.

In this case, note that if we multiply the second equation by 2 and the first equation by 5, in both we'll have -10y:

Now subtracting the first equation from the second:

Solving for x:

Now, to find y, we just have to replace x = -2 into any of the equations and solve for y. In this case, I'll replace it in the first equation:

Answer:

7 + 2 = 9, so AC = 7/9 and CD = 2/9

1 + 2 = 3, so AB = 1/3 = 3/9 and

BD = 2/3 = 6/9

AB + BC = AC

3/9 + BC = 7/9, so BC = 4/9

AB:BC:CD = (3/9):(4/9):(2/9) = 3:4:2

The rate of change of the given graphed function in the diagram is: D. 5/2.

Rate of change of a function = slope = change in y / change in x.

Using the two points on the coordinate plane, (4, 0) and (8, 10):

Rate of change = (10 - 0) / (8 - 4)

Rate of change = 10/4

Rate of change = 5/2

Rate of change of the function is: D. 5/2.

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Answer:

(19,1/2)

Step-by-step explanation:

you can put any number in the x coordinate as long as y is the same .

The distinguishing feature between a square and a rectangle is that all sides of a square are equal in length.

Yes, a square is a special type of rectangle because it possesses all the properties of a rectangle.

The distinguishing feature of a rhombus is that all sides are equal in length, while a parallelogram can have unequal side lengths.

Yes, a rhombus is a special type of parallelogram because it possesses the properties of a parallelogram and has all sides equal in length.

The three features used to describe 3-dimensional objects are faces, edges, and vertices.

The common properties between a square and a rectangle are that both have four sides, four right angles (90 degrees), and opposite sides that are parallel. The distinguishing feature is that all sides of a square are equal in length, while a rectangle can have unequal side lengths.

Yes, a square is a special type of rectangle. A rectangle is defined as a quadrilateral with four right angles, while a square is a specific type of rectangle where all sides are equal in length. Since a square possesses all the properties of a rectangle, including four right angles, it can be considered a special case of a rectangle.

The common properties between a rhombus and a parallelogram are that both have four sides and opposite sides that are parallel. The distinguishing feature of a rhombus is that all sides are equal in length, while in a parallelogram, the opposite sides are equal in length.

Yes, a rhombus is a special type of parallelogram. A parallelogram is defined as a quadrilateral with opposite sides that are parallel. A rhombus possesses this property, but it also has the additional feature of having all sides equal in length. Therefore, a rhombus can be considered a special case of a parallelogram.

The three features used to describe 3-dimensional objects are:

Faces: The flat surfaces that make up the object.

Edges: The lines where two faces intersect.

Vertices: The points where multiple edges meet.

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The percent change in the number of water bottles the company manufactured from February to April is 19.5%, to the nearest percent.

A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals.

The total number of water bottles the company manufactured in February, March, and April.

In February, the company manufactured 4,100 water bottles. In March, the company manufactured 7% more water bottles than in February, which is 7/100 * 4,100 = 287 water bottles.

Therefore, the total number of water bottles the company manufactured in March is 4,100 + 287 = 4,387 water bottles. In April, the company manufactured 500 more water bottles than in March, which is 4,387 + 500 = 4,887 water bottles.

This is calculated as (4,887 - 4,100) / 4,100 = 0.195 or 19.5%.

Therefore, the percent change in the number of water bottles the company manufactured from February to April is 19.5%, to the nearest percent.

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expand and simplify (2x + 1)(x + 3)

answer : \(2x^2+7x+3\)

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explanation : expand the polynomial using the FOIL method.

-

FOIL : a technique for distributing two binomials. the letters FOIL stand for first, outer, inner, last. first means multiply the terms which occur first in each binomial, outer means multiply the outermost terms in the product, inner means multiply the innermost terms, and last means multiply the terms which occur last in each binomial.

-

step 1 : multiply each term in the first parentheses by each term in the second parentheses (FOIL)

ex : \(2x * x+2x * 3+x+3\)

step 2 : calculate the product

ex: \(2x^2+2x * 3+x+3\)

step 3 : calculate the product

ex: \(2x^2+6x+x+3\)

step 4 : collect like terms

ex: \(2x^2+7x+3\)

-

solution : \(2x^2+7x+3\)

hope this helps !

- audrey ♡

The y-intercept of the function is (0, c)

The coefficients b determine the horizontal shift of the parabola compared to the parent function

If a is negative, the parabola opens downward

The y-intercept of the function is (0, c).

This means that when x = 0, the y-value is equal to c.

The constant term c represents the y-coordinate of the point where the parabola intersects the y-axis.

The coefficient b determines the horizontal shift of the parabola compared to the parent function.

The value of b affects the position of the vertex and determines if the parabola is shifted to the left or right.

A positive value of b shifts the parabola to the left, while a negative value of b shifts it to the right.

If a is negative, the parabola opens downward.

The coefficient a determines the shape of the parabola.

If a is positive, the parabola opens upward, and if a is negative, the parabola opens downward. The sign of a determines the direction in which the parabola faces.

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Answer:

70 students

Step-by-step explanation:

If 40% of all students in Mrs. Well's class got an A, and 28 students got an A, that means that 28 = 40%

To find the total number of students, we need to find 100%

40% = 28

Divide by 4

10% = 7

Multiply by 10

100% = 70

So there are 70 students in Mrs. Well's class.

Hope this helps you! :D

MN=32 i believe is the correct answer

Answer:

MN=54

Step-by-step explanation:

Q is the centroid center of the the triangle which means QM = QN×2

Sense we know QN = 18, then QM= 18×2 which equals 36. To find MN we add these 2 lengths together and we will get 18+36=54.

MN=54

Answer:

$5.98 credit

Step-by-step explanation:

the slope OR "m" in y=mx in this equation is given to be: -0.16

To find the answer you know that the calling time (x) is 37 minutes, therefore you multiply 3 by -0.16 to find the credit after 37 mins

y=mx

y=(0.16)(37)

y=5.92

Answer:

y= 11x

Step-by-step explanation:

find the slope: 22-11/2-1= 11/1 or 11

To find the y-intercept you can use the slope by subtracting 11 (inverse operation) from the y value of (1,11). So the y- intercept is (0,0). To write the equation plug in 11 for m and 0 for b. Since 0 has no value the equation would be y= 11x

The roots of the quadratic equation below:

f(x) = 3x^2 -x - 4

are x = -1 and x = 4/3

We want to find the roots of the quadratic equation:

f(x) = 3x^2 -x - 4

The roots are the the values of x such that the function becomes zero, then we need to solve:

3x^2 - x - 4 = 0

Using the quadratic formula we will get:

\(x = \frac{1 \pm \sqrt{(-1)^2 - 4*3*(-4)}}{2*3} \\\\x = \frac{1 \pm 7}{6} \\\\\)

Then the two roots are:

x = (1 - 7)/6 = -1

x = (1 + 7)/6 = 8/6 = 4/3

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The correct answer is March, as it was the month in which the average number of hours worked by the website designers was closest to 50 hours.

A month is a unit of time typically consisting of 30 or 31 days. It is used for measuring periods of time, for example, when we say something happened "a month ago". Months are used in both the Gregorian calendar and the Julian calendar.

This data was gathered from a survey of website designers, which was conducted to determine the average number of hours each month that these professionals spent working.

In January, the average number of hours worked was 46.5. In February, it was 48.8. However, in March, the average number of hours worked was 49.4, which was the closest to 50 hours. This was followed by April, in which the average was 49.7.

Overall, it can be concluded that March was the month in which the average number of hours worked by website designers was closest to 50 hours. This is important data for website designers, as it allows them to understand the amount of time they should be spending on their work in order to be successful. It also helps employers gauge the workload of their website designers and ensure they are providing an adequate amount of work.

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Answer:

11.6 lbs

Step-by-step explanation:

Probability that exactly 10 flights arrive on time is 53.33%.

Given that,

The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation.

Recently, Southwest Air had the best rate with 80% of its flights arriving on time.

Total number flights in sample = 15

Probability that exactly 10 flights arrive on time is,

P = 10/15 × 80%

  = 0.5333

  = 53.33%

Hence the required probability is 53.33%.

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Answer:

5.333..... = 5 1/3

Step-by-step explanation:

Hope that helps!

Answer:

x=-1, y=2

Step-by-step explanation:

Given:

2y=6x+10

y=2x+4

Substitution for y into first equation:

2(2x+4)=6x+10

4x+8=6x+10

0=2x+2

2x=-2

x=-1

y=2(-1)+4

y=2

Answer:

the measure of < RST is 21.70 degrees.

Step-by-step explanation:

If < HIK and < RST are complementary angles, it means that the sum of their measures is 90 degrees.

Let's denote the measure of < RST as x.

Given that the measure of < HIK is 68.30 degrees, we can set up the following equation:

68.30 + x = 90

To solve for x, we subtract 68.30 from both sides:

x = 90 - 68.30

Calculating the value:

x = 21.70

The line is a vertical line, then the correct option is D, the slope is undefined.

A general linear equation can be written as:

y = a*x + b

Where a is the slope, b is the y-intercept, and x is the variable.

If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope of that line is given by the formula:

a = (y₂ - y₁)/(x₂ - x₁)

Here we know that the two points are (2, -4) and (2, 4)

Replacing that we would have a problem, that is because we have the same x-value in both points.

Then we have a vertical line at x = 2.

That line has no defined slope, thus, the correct option is D.

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Answer: 18.78 cubic feet

Step-by-step explanation:

The detailed analysis is attached below.

Answer:

x=4, y=-2, p=14

Step-by-step explanation:

First simplify the LHS:

\(LHS = (16p^8)^\frac{3}{2} \times (216p^{-3})^{-\frac{2}{3}}\)

\(= 64 p^{12} \times \frac{1}{36} p^{2}\)

\(=\frac{16}{9}p^{14}\)

\(=\frac{2^4}{3^2}p^14\\=2^43^{-2}p^{14}\)

Hence x=4, y=2, p=14

The true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

From the given options, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

Let's analyze each statement:

Its leading coefficient is positive:

The leading coefficient of a polynomial is the coefficient of the term with the highest degree.

From the graph, if the polynomial is going upwards on the right side, it indicates that the leading coefficient is positive.

It has an odd degree: The degree of a polynomial is the highest power of the variable in the polynomial expression.

If the graph has an odd number of "turns" or "bumps," it indicates that the polynomial has an odd degree.

None of the zeroes have even multiplicity:

The multiplicity of a zero refers to the number of times it appears as a factor in the polynomial.

In the given graph, if there are no repeated x-intercepts or no points where the graph touches and stays on the x-axis, it implies that none of the zeroes have even multiplicity.

The other statements (its leading coefficient is negative, it has an even degree, it has exactly two real zeroes, it has exactly three real zeroes, and none of the zeroes have odd multiplicity) cannot be determined based solely on the information given.

Therefore, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

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